Base | Representation |
---|---|
bin | 1111100101011… |
… | …10011001010000 |
3 | 100010000011110200 |
4 | 13302232121100 |
5 | 231432101434 |
6 | 20550055200 |
7 | 3145152414 |
oct | 762563120 |
9 | 303004420 |
10 | 130737744 |
11 | 67886225 |
12 | 3794a500 |
13 | 21116517 |
14 | 13512d44 |
15 | b727199 |
hex | 7cae650 |
130737744 has 60 divisors (see below), whose sum is σ = 370926036. Its totient is φ = 42978816.
The previous prime is 130737743. The next prime is 130737751. The reversal of 130737744 is 447737031.
It can be written as a sum of positive squares in 2 ways, for example, as 32490000 + 98247744 = 5700^2 + 9912^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 130737699 and 130737708.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130737743) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4294 + ... + 16730.
Almost surely, 2130737744 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130737744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185463018).
130737744 is an abundant number, since it is smaller than the sum of its proper divisors (240188292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130737744 is a wasteful number, since it uses less digits than its factorization.
130737744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12524 (or 12515 counting only the distinct ones).
The product of its (nonzero) digits is 49392, while the sum is 36.
The square root of 130737744 is about 11434.0606960082. The cubic root of 130737744 is about 507.5361670295.
The spelling of 130737744 in words is "one hundred thirty million, seven hundred thirty-seven thousand, seven hundred forty-four".
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